Pls help ASAP! Consider this linear function:
Y= 1/2x + 1
Plot all ordered pairs for the values in the domain.
D: { -8,-4,0,2,6}

Answers

Answer 1

Answer:

A graph of the linear function y = 1/2(x) + 1 is shown in the image attached below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.
x and y are the points.
b represent the y-intercept.

Since the given linear function y = 1/2(x) + 1 is in slope-intercept form, we would start by plotting the y-intercept:

y = 1/2(x) + 1

y = 1/2(0) + 1

y = 1 ⇒ (0, 1)

y = 1/2(-8) + 1

y = 1 ⇒ (-8, -3)

y = 1/2(-4) + 1

y = 1 ⇒ (-4, -1)

y = 1/2(2) + 1

y = 1 ⇒ (2, 2)

y = 1/2(6) + 1

y = 1 ⇒ (6, 4)

Next, we would use an online graphing tool to plot the given linear function for the values in its domain { -8,-4,0,2,6} using table, as shown in the graph attached below.

Read more on a graph here: brainly.com/question/4546414

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Answer 2

Answer:

Final answer:

To plot the ordered pairs for the given domain of a linear function, substitute each value of x into the equation and solve for y.

Explanation:

To plot the ordered pairs for the values in the given domain, we substitute each value of x into the equation and solve for y. Let's do that for each value in the domain:

For x = -8, y = (1/2)(-8) + 1 = -4 + 1 = -3. The ordered pair is (-8, -3).
For x = -4, y = (1/2)(-4) + 1 = -2 + 1 = -1. The ordered pair is (-4, -1).
For x = 0, y = (1/2)(0) + 1 = 0 + 1 = 1. The ordered pair is (0, 1).
For x = 2, y = (1/2)(2) + 1 = 1 + 1 = 2. The ordered pair is (2, 2).
For x = 6, y = (1/2)(6) + 1 = 3 + 1 = 4. The ordered pair is (6, 4).

The ordered pairs for the given domain are (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

Learn more about Plotting ordered pairs of a linear function here:

brainly.com/question/29046277

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Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:

R(90 deg) : (X,Y) ---> (-Y,X)

Using the given coordinates:
R(90 deg) : (-4,1) ---> (-1,-4)

Therefore, Point C' will be located at (-1,-4)

Answer:

(1,4)

Step-by-step explanation:

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How do you convert 0.125 into a ratio

Answers

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)
125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)
25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)
1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Answer:

Start by writing the ratio of:

0.125/1 (since a number divided by 1 is itself)

Then multiply the numerator and denominator by 10, 100, or 1000, etc. until the numerator becomes an integer: (in this case multiplying by 1000 does the trick)

(0.125*1000)/(1*1000)

125/1000

Now simplify by dividing by common factors. For this problem, 5 is a common factor of both the numerator and denominator:

(125/5)/(1000/5)

25/200

Do this again with another common factor if possible. For this problem, 25 is another common factor:

(25/25)/(200/25)

1/8

Now there are no more common factors between the numerator and denominator. When this is the case, the fraction can be considered to have been simplified:

Answer is: 1/8

Step-by-step explanation:

On Monday, Maria leaves her house for work and heads 20° east of north for 11 miles. On Tuesday, Maria visits her friend before work. Maria's friend's house is 6 miles away from hers at 10° south of west. How far does Maria's friend live from her work? Round the answer to the nearest tenth. A. 9.2 miles B. 10.6 miles C. 12.5 miles D. 14.9 miles

Answers

The answer to this question is 14.9 miles.

May someone please tell me the answer

Answers

The third one is the correct answer

What< and > this stand for??

Answers

Answer:

< lesser to

>greater to

Answer: < less than

> greater than

Step-by-step explanation: hope this helps!!!

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?

Answers

The equation of line passes through points $\left({ - \,4, - \,3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$ .

Further explanation:

It is given that a line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

The slope of a line passes through points $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ is calculated as follows:

$m=\frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}}{\text{ }}$ ......(1)

Here, the slope of a line is denoted as and points are $\left({{x_1},{y_1}}\right)$ and $\left({{x_2},{y_2}}\right)$ .

Substitute for ${x_1}$ , $-3$ for ${y_1}$ , $12$ for ${x_2}$ and $1$ for ${y_2}$ in equation (1) to obtain the slope of a line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ .

$\begin{aligned}m&=\frac{{1 - \left({ - 3}\right)}}{{12 - \left({ - 4}\right)}}\n&=\frac{{1 + 3}}{{12 + 4}}\n&=\frac{4}{{16}}\n&=(1)/(4)\n\end{aligned}$

Therefore, the slope is $(1)/(4)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y - {y_1}=m\left({x - {x_1}}\right){\text{}}$ ......(2)

Substitute for ${x_1}$ , $1$ for ${y_1}$ and $(1)/(4)$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y - 1&=(1)/(4)\left({x - 12}\right)\n4\left({y - 1}\right)&=x - 12\n4y - 4&=x - 12\nx - 4y&=8\n\end{aligned}$

Therefore the standard equation of line that passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ is $x - 4y = 8$ .

Thus, theequation of line passes through points $\left({ - 4, - 3}\right)$ and $\left({12,1}\right)$ in standard form is $\boxed{{\mathbf{x - 4y = 8 }}}$

Learn more:

1. Which classification best describes the following system of equations? brainly.com/question/9045597

2. What is the value of in the equation when ? brainly.com/question/3965451

3. What are the values of x?brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords:Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics,equation of line, line, passes through point

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